This bridge was the second to be built in Florence, so after “Ponte Vecchio” they called it “Ponte Nuovo”. That was back in the early 13th century; its newer name reflects a wider later version that allowed carts to pass. Like any old structure, it suffered over time and was rebuilt in a few different versions. The aesthetics of the current version are thanks to Amannati with the patronage of the Medici in the 1560s. It was destroyed by the retreating nazi army at the end of WWII and rebuilt with care as close as possible to its previous state.
Its graceful arches reflect in the water on a calm day and I think it is a nice reflection of 16th-century aesthetics. Apparently, though, when the bridge was re-opened in 1952, citizens criticized its particularly heightened curve, nicknaming it Ponte Gobbo (hunchback).